Use the law of conservation of momentum. Since the momentum is a linear measure, we can treat each of the dimension separately:
i-direction:

j-direction:

Answer: Final velocity is: (10i + 15j) m/s
Change in the kinetic energy:

Answer: The system lost 500J worth of kinetic energy in the collision
Answer:

Explanation:
The capacitor of a parallel-plate capacitor is given by:

where
A is the area of each plate
d is the separation between the plates
is the vacuum permittivity
The energy stored in a capacitor instead is given by

where
Q is the charge stored in each plate
Substituting the expression we found for C inside the last formula,

And re-arranging it

Now if we substitute

We find the charge stored on the capacitor:

Answer:
P V = n R T ideal gas equation
V = k T where k = a constant and equals k = n R / P
V is proportional to T when other factors are constant
The work done in the isothermal process is 10 joule.
We need to know about the isotherm process to solve this problem. The isotherm process can be described as a process where the initial temperature system will be the same as the final temperature. Hence, the internal energy change will be zero.
ΔU = 0
Hence,
ΔU = Q - W
0 = Q - W
Q = W
It means that the heat transferred is the same as the work done.
From the question above, we know that the heat transferred is 10 joule. Thus, the work done in the isothermal process is 10 joule.
Find more on isothermal at: brainly.com/question/17097259
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Answer:
The orbital period of a planet depends on the mass of the planet.
Explanation:
A less massive planet will take longer to complete one period than a more massive planet.